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Find the state transition matrix of the following system: = [] C = [0_1] 2 where A = [¹4²] -4 O a. O b. О с. O d. [e-t(cos2t + sin2t) 2e-tsin2t [e-t (cos2t + sin2t) (cos2t + sin2t) -2e-tsin2t e-t(cos2t + sin2t) B = e-tsin2t e-t(cos2t - sin2t)] -e-tsin2t e-t(cos2t - sin2t) -e-tsin2t e-t (cos2t - sin2t) e-tsin2t e-t(cos2t - sin2t) t(cos2t + sin2t) e-tsin2t e-t(cos2t - sin2t)

Find the state transition matrix of the following system: = [] C = [0_1] 2 where A = [¹4²] -4 O a. O b. О с. O d. [e-t(cos2t + sin2t) 2e-tsin2t [e-t (cos2t + sin2t) (cos2t + sin2t) -2e-tsin2t e-t(cos2t + sin2t) B = e-tsin2t e-t(cos2t - sin2t)] -e-tsin2t e-t(cos2t - sin2t) -e-tsin2t e-t (cos2t - sin2t) e-tsin2t e-t(cos2t - sin2t) t(cos2t + sin2t) e-tsin2t e-t(cos2t - sin2t)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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LINEAR SYSTEMS

Find the state transition matrix of the following system: 2 where A = [¹4²] B C = [01] O a. O b. O c. O d. [e-t(cos2t + sin2t) [e-t (cos2t + sin2t) 2e-tsin2t [e-t (cos2t + sin2t) [e-t(co [e-t(cos2t + sin2t) -2e-tsin2t e-tsin2t e-t(cos2t - sin2t) -e-tsin2t e-t(cos2t - sin2t) -e-tsin2t e-t (cos2t - sin2t) e-t sin2t e-t(cos2t - sin2t) e-t(cos2t + sin2t) -2e-tsin2t e-tsin2t e-t(cos2t - sin2t)
Transcribed Image Text:Find the state transition matrix of the following system: 2 where A = [¹4²] B C = [01] O a. O b. O c. O d. [e-t(cos2t + sin2t) [e-t (cos2t + sin2t) 2e-tsin2t [e-t (cos2t + sin2t) [e-t(co [e-t(cos2t + sin2t) -2e-tsin2t e-tsin2t e-t(cos2t - sin2t) -e-tsin2t e-t(cos2t - sin2t) -e-tsin2t e-t (cos2t - sin2t) e-t sin2t e-t(cos2t - sin2t) e-t(cos2t + sin2t) -2e-tsin2t e-tsin2t e-t(cos2t - sin2t)
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